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Green Function approach is more physical?

  1. Jun 29, 2008 #1
    Hey folks,

    I'm not really sure which forum to put this question in but I figured this was probably the best as it deals with issues of regularization.

    I'm reading Miltons 'The Casimir Effect'. In chapter one he derives the Casimir energy for a massless scalar field by employing dimensional regularization. He then goes on in the next section to derive the same result using a Green function approach which he claims is "...a physical and rigorous approach".

    From this sentence it appears that he favors the Green function approach over Dim reg. Is this a general 'feeling' in the physics community? That Green functions are somehow superior to Dim Reg? Also, why should this be 'physical'?

    I hope this question makes sense.

  2. jcsd
  3. Jun 30, 2008 #2


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    I do have the feeling that Greens functions are more physical than dimensional regularization. That is, I can very well imagine the physical meaning of a propagator, but I don't really have intuition for [itex]4 + \epsilon[/itex] dimensions with [itex]\epsilon \in \mathbb{C}[/itex].
    I can't remember seeing Greens functions being used for regularization though.
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